Convergence in trace ideals
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- by B. Simon PDF
- Proc. Amer. Math. Soc. 83 (1981), 39-43 Request permission
Abstract:
We give an elementary proof of a theorem of Arazy which presents necessary and sufficient conditions on a symmetric sequence so that the associated symmetrically normed trace ideal has the property that if ${A_n} \to A$ in the weak operator topology and $\left \| {{A_n}} \right \| \to \left \| A \right \|$, then $\left \| {{A_n} - A} \right \| \to 0$.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 39-43
- MSC: Primary 47D25; Secondary 47B10
- DOI: https://doi.org/10.1090/S0002-9939-1981-0619977-2
- MathSciNet review: 619977